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Finding the Third Proportional to 1,873,590.75 and 4,012,696.97

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Solution

The third proportional to 1,873,590.75 and 4,012,696.97 is: 8,594,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,590.75 : 4,012,696.97 = 4,012,696.97 : x
  2. Step 2: Convert to fraction form
    1,873,590.75/4,012,696.97 = 4,012,696.97/x
  3. Step 3: Cross multiply
    1,873,590.75x = 4,012,696.97 × 4,012,696.97
  4. Step 4: Simplify right side
    1,873,590.75x = 16,101,736,963,015.44
  5. Step 5: Solve for x
    x = 16,101,736,963,015.44/1,873,590.75
  6. Step 6: Final answer
    x = 8,594,052.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.